01-463 O. A. Veliev

The Periodic Multidimensional Schrodinger Operator, Part 2, Asymptotic Formulae for Bloch Functions and Fermi Surfaces (100K, LATeX 2e) Dec 11, 01

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Abstract. In this paper we obtain asymptotic formulas for Bloch function of periodic Schrodinger operator $-\Delta +q(x),$ of arbitrary dimension, when corresponding quasimomentum lies near a diffraction hyperplane, but far from the intersection of the two diffraction hyperplanes. Moreover, we write asymptotic formulas for Bloch function and Fermi survaces, when corresponding quasimomentum lies far from the diffraction hyperplanes, obtained in my previous papers in improved and enlarged form.

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